(Ebook) Algebraic Graph Theory: Morphisms, Monoids and Matrices by Ulrich Knauer, Kolja Knauer ISBN 9783110616125, 9783110617368, 9783110616286, 3110616122, 3110617366, 3110616289

(Ebook) Algebraic Graph Theory: Morphisms, Monoids and Matrices by Ulrich Knauer, Kolja Knauer ISBN 9783110616125, 9783110617368, 9783110616286, 3110616122, 3110617366, 3110616289

Main subject categories: • Graph theory • Group theory • Algebraic graph theoryMathematics Subject Classification 2010: • 05C05 Trees • 05C10 Planar graphs; geometric and topological aspects of graph theory • 05C12 Distance in graphs • 05C20 Directed graphs (digraphs), tournaments • 05C25 Graphs and abstract algebra (groups, rings, fields, etc.) • 05C38 Paths and cycles • 05C50 Graphs and linear algebra (matrices, eigenvalues, etc.) • 05C62 Graph representations (geometric and intersection representations, etc.) • 05C75 Structural characterization of families of graphs • 05C90 Applications of graph theory • 20M17 Regular semigroups • 20M19 Orthodox semigroups • 20M20 Semigroups of transformations, relations,…Graph models are extremely useful for a large number of applications as they play an important role as structuring tools. They allow to model net structures – like roads, computers, telephones, social networks – instances of abstract data structures – like lists, stacks, trees – and functional or object oriented programming. The focus of this highly self-contained book is on homomorphisms and endomorphisms, matrices and eigenvalues.The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist.The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level.The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics.